I’d think a PV panel runs cooler under load since it diverts ~25% of the light energy hitting it down the wire as electricity instead of just heating up the panel. Otherwise where else is the light energy going with no load?

If that theory is correct, paying someone to take your electricity is worthwhile.

Of course, it could operate its own shunt load on-site but not worth it if it runs a few hours a year.

And I’ve no idea if a panel has a longer or shorter lifespan if it just runs hotter but unloaded. But definitely going to take a hit to production if prices go positive in 5 minutes but your panel is baking.